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Finding the Fourth Proportional to 999,935,999.40, 1,499,903,999.10 and 898,151,269.80

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Solution

The fourth proportional to 999,935,999.40, 1,499,903,999.10 and 898,151,269.80 is: 1,347,226,904.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    999,935,999.40 : 1,499,903,999.10 = 898,151,269.80 : x
  2. Step 2: Convert to fraction form
    999,935,999.40/1,499,903,999.10 = 898,151,269.80/x
  3. Step 3: Cross multiply
    999,935,999.40x = 1,499,903,999.10 × 898,151,269.80
  4. Step 4: Simplify right side
    999,935,999.40x = 1,347,140,681,369,762,816
  5. Step 5: Solve for x
    x = 1,347,140,681,369,762,816/999,935,999.40
  6. Step 6: Final answer
    x = 1,347,226,904.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.